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Finding the Fourth Proportional to 114,354.82, 171,548.82 and 35,475.40

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Solution

The fourth proportional to 114,354.82, 171,548.82 and 35,475.40 is: 53,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,354.82 : 171,548.82 = 35,475.40 : x
  2. Step 2: Convert to fraction form
    114,354.82/171,548.82 = 35,475.40/x
  3. Step 3: Cross multiply
    114,354.82x = 171,548.82 × 35,475.40
  4. Step 4: Simplify right side
    114,354.82x = 6,085,763,009.03
  5. Step 5: Solve for x
    x = 6,085,763,009.03/114,354.82
  6. Step 6: Final answer
    x = 53,218.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.